شماره ركورد كنفرانس :
4079
عنوان مقاله :
A quotient topology on the shape homotopy groups
پديدآورندگان :
Nasri T tnasri72@yahoo.com University of Bojnord , Ghanei F fatemeh.ghanei91@gmail.com Ferdowsi University of Mashhad , Mirebrahimi H h_mirebrahimi@um.ac.ir Ferdowsi University of Mashhad
كليدواژه :
Topological shape homotopy group , shape group , topological group , quotient topology
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
In 2016, the authors considered a topology on the shape homotopy groups of arbitrary topological spaces, $\check{\pi}_k^{top}(X,x)$, which make them Hausdorff topological groups. In this talk, we define the $k^{th}$ shape loop space for all $k\in \mathbb{N}$ and consider a quotient topology on the $k^{th}$ shape group, induced by the $k^{th}$ shape loop space. Then
.we show that this quotient topology coincides with the above topology
